Given that:
a1=27, an=(an-1)+4
the second term will be:
a2=a1+4
a2=27+4=31
The explicit formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
a= first term
d=common difference
n=nth term
from the information given:
a=27
d=31-27=4
thus the explicit formula will be:
an=27+(n-1)4
an=27+4n-4
an=23+4n
Answer: an=23+4n
We have a piecewise function.
Therefore, to find the function, we must evaluate each domain separately.
We have then:
For
:
The function for this domain is:

For
:
The function for this domain is:

Where,

Substituting:

For
:
The function for this domain is:
Answer:
$48
Step-by-step explanation:
The video store sold 5 movies for 12 dollars .
Each movie cost 12/5 dollars
Which is 2.4dollars .
20 movies will be sold for
$2.4 x 20 = $48
Replace x with -1.
G(-1) = -5(-1) + 2
= 5 + 2
= 7
I hope this Helps!